Standard and Hyperfinite Unifications for All Physical Theories

Physics – General Physics

Scientific paper

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Plain Tex, 15 pages. In this version, all incorrect operator terminology is corrected. This should be the last version

Scientific paper

In this paper, the set of all physical theories is represented by a countable subset of the lattice of consequence operators defined on a language L. It is established that there exists a unifying injection U defined on the set of significant representations for natural-systems M. If W is a member of M, then U selects an ultralogic C such that C(*W) restricted to L is a unification for the set of all physical theories as each is applied to W. There also exists a standard injection S that for each W in M selects a standard unifying consequence operator D, where C(*W) is a subset of *D(*W). It is also shown how to use these unifying operators and obtain a product operator that has the same effect but, in a practical sense, this operator is applied to every natural-system within our universe simultaneously.

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